Operations and Algebraic Thinking

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Lesson 4

Arrays and Multiplication

Practice

Write an addition sentence and a multiplication sentence to show equal rows.

1. 2.

+ + = + + =

× = × =

Homework Helper

The pumpkins in a patch are arranged in rows with an equal number in each row. How many pumpkins are in the patch?

Write an addition sentence and a multiplication sentence to show equal rows.

6 + 6 + 6 = 18 3 × 6 = 18

The Commutative Property of Multiplication allows you to change

the order of the factors to write another multiplication sentence, 6 × 3 = 18.

There are 18 pumpkins in the pumpkin patch.

4 4 4 12 5 5 5

3 4 12 3 5 15

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Use the Commutative Property of Multiplication to find each missing number.

3. 3 × 2 = 6 × 3 = 6 4. 6 × 4 = 24 4 × = 24

5. 8 × 6 = 48 6 × 8 = 6. 5 × 2 = 10 × 5 = 10

Problem Solving

Draw an array to solve. Then write two multiplication sentences.

7. Bottles of syrup are arranged in 4 rows of 7 bottles each. How many bottles of syrup are there in all?

9. How can you use an array to show the Commutative Property?

Vocabulary CheckVocab

8. A parking lot has 6 rows of 10 spaces. How many parking spaces are there altogether?

Test Practice 10. Which pair of number sentences represents the

Commutative Property of Multiplication?

A 3 × 6 = 18; 2 × 9 = 18 C 4 × 5 = 20; 8 × 5 = 40

B 6 × 7 = 42; 7 × 6 = 42 D 9 + 11 = 20; 11 + 9 = 20

6 × 10 = 60 parking spaces

10 × 6 = 60 parking spaces

Sample answer: Multiply the number of rows by the number of

columns. Then turn the array. The product is the same.

Sample arrays shown.

2

48 2

6

4 × 7 = 28 bottles

7 × 4 = 28 bottles

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